Department of

Mathematics

Seminar Calendar
for events the day of Monday, September 16, 2019.

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events for the
events containing

Questions regarding events or the calendar should be directed to Tori Corkery.
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Monday, September 16, 2019

3:00 pm in 441 Altgeld Hall,Monday, September 16, 2019

Modeling higher algebra with product-and-loop theories

William Balderrama (UIUC Math)

Abstract: In this talk, I will introduce the extra homotopical properties of a (suitably infinitary) algebraic theory that make it suitable for modeling spectral, or otherwise higher, algebra, rather than merely derived forms of ordinary algebra. To illustrate the utility of this viewpoint, I will indicate some of the computational tools that can be constructed and understood from this perspective. Time permitting, I will discuss some applications to chromatic homotopy theory.

3:00 pm in 243 Altgeld Hall,Monday, September 16, 2019

Packing Lagrangian Tori

Ely Kerman (Illinois)

Abstract: While Lagrangian tori bound no volume in dimensions greater than two, in some ways, they behave as if they do. For example, it takes a nontrivial amount of energy to displace one. In this spirit, one might also ask if there are obstructions to embedding many disjoint (integral) Lagrangian tori in a fixed symplectic manifold of finite volume. In this talk I will discuss two results in this direction. The first asserts that the Clifford torus in $S^2 \times S^2$ is a maximal Lagrangian packing in the sense that any other integral Lagrangian torus must intersect it. The second result shows that a natural candidate for a maximal symplectic packing of a polydisc actually fails to be maximal. This is joint work with Richard Hind.

5:00 pm in 241 Altgeld Hall,Monday, September 16, 2019

Stability property of conditional probabilities

Chris Linden (UIUC)

Abstract: We will present the second part on different forms of equivalences for conditional probabilities developed in the IGL project last semester.